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Solve 4x + 12 = 0

The solution of 4x + 12 = 0 is x = -3.

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The lines y = 4x + 12 and y = 0 meet at x = -3-8-6-4-22-20-101020x = -3y = 4x + 12y = 0
The lines y = 4x + 12 and y = 0 meet at x = -3. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    4x+12=04x + 12 = 0
  2. 2

    Subtract 12 from both sides:

    4x+12āˆ’12=0āˆ’12Ā ā‡’Ā 4x=āˆ’124x + 12 - 12 = 0 - 12 \ \Rightarrow\ 4x = -12
  3. 3

    Divide both sides by 4:

    4x4=āˆ’124Ā ā‡’Ā x=āˆ’3\frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    4ā‹…(āˆ’3)+12=āˆ’12+12=0āœ“4\cdot(-3) + 12 = -12 + 12 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 0\ \Rightarrow\ x = -3 \]
\[ 4x + 12 = 0 \]
\[ 4x + 12 - 12 = 0 - 12 \ \Rightarrow\ 4x = -12 \]
\[ \frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3 \]
\[ 4\cdot(-3) + 12 = -12 + 12 = 0 \checkmark \]

Trying values of x in 4x + 12 = 0

x4x + 12Equals 0?
-5-8no
-4-4no
-30yes
-24no
-18no

Questions

What is x in 4x + 12 = 0?

The solution of 4x + 12 = 0 is x = -3.

How do you solve 4x + 12 = 0?

Subtract 12 from both sides to get 4x = -12, then divide both sides by 4 to get x = -3.

How do I check the answer?

Replace x by -3: 4(-3) + 12 = 0, which is 0.

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    Solve 4x + 12 = 0: x = -3 (steps and check) | WordGPT